Explanation:
From the given question, we can sketch the pattern observed
The figure above helps show how the number of people increases
Initially, Jan tells 2 more people, then the two people tell two more people, then they also tell two more people
Thus
we can see that the model is given by
\(\begin{gathered} (2)^n \\ where\text{ n is the number of days} \end{gathered}\)In order to have at least 700 (it also means a minimum of 700), we will have the equation
\(2^n\ge700\)We then solve for n
Taking the log of both sides
\(n\text{ }log2\ge log700\)\(n\ge\frac{log700}{log2}\)So that
\(\begin{gathered} n\ge\frac{2.845}{0.301} \\ \\ n\ge9.451 \end{gathered}\)So, the number of days will be at least 10 days (Rounded to the nearest whole day )
A ladder is leaning against a building, forming a 70° angle with the ground: The base of the ladder is 8.2 ft from the base of the
building.
What is the length of the ladder?
Round your answer to the nearest tenth of a foot.
22.5 ft
24.0 ft
28.0 ft
28.7 ft
The length of the ladder that is leaning on the building would be = 24ft. That is option B.
How to determine the length of the ladder?To determine the length of the ladder, the sine rule needs to be obeyed. That is
= a/sinA = b/sinB
Where;
a = 8.2 ft
A = 180-( 70+90
= 180- 160
= 20°
b = X
B = 90°
That is;
8.2/sin20° = b/sin90°
Make b the subject of formula;
b = 8.2×1/0.342020
= 23.9
= 24 ft
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What is the solution to this equation?
7x-3(x-6)= 30
A. X= 3.
B. x = 12
C. X= 9
D. x=6
Answer:
A
Step-by-step explanation:
To solve the equation 7x-3(x-6)=30, we need to use the distributive property to simplify the left-hand side of the equation:
7x - 3(x-6) = 30
7x - 3x + 18 = 30
4x + 18 = 30
Next, we need to isolate the variable term on one side of the equation. To do this, we can subtract 18 from both sides:
4x + 18 - 18 = 30 - 18
4x = 12
Finally, we can solve for x by dividing both sides by 4:
4x/4 = 12/4
x = 3
Therefore, the solution to the equation 7x-3(x-6)=30 is x = 3. Answer A is correct.
17. Write the greatest and the smallest 4-digit numbers using four different digits
with the conditions as given:
( Digit 7 is always at units place.
Answer:
Greatest number = 9867
Smallest number = 1027
Step-by-step explanation:
Greatest number:
- - - 7
In order to form the greatest number, we should simply put the greatest available digit at the thousands place, the second greatest at the hundreds place and the third greatest at the tens place (which would be 9, 8, and 6 respectively).
9867
Smallest number:
- - - 7
In order to form the greatest number, we should simply put the lowest available digit at the thousands place (excluding zero since a number can't start with a zero), put zero at the hundreds place and the third lowest at the tens place (which would be 1, 0, and 2 respectively).
1027
what is refraction
Answer:
I hope this will be the answer... ✌️
\(\large{\pmb{\underline{\underline{\sf{Refraction:-}}}}}\)
Refraction is the bending of a light or sound wave, or the way the light bends when entering the eye to form an image on the retina.
\(\large{\pmb{\underline{\underline{\sf{Examples~ Of~ Refraction:-}}}}}\)
Bending of the sun's rays as they enter raindrops, forming a rainbow.\({\huge{\underline{\small{\mathbb{\pink{HOPE \ THIS \ HELPED \ UH:)}}}}}}\)
Cheers !! :3
Use two equations in two variables to solve the application.The salaries of the President and Vice President of a certain country total $572,400 a year. If the President makes $227,600 more than the Vice President, find each on their salaries (in dollars)
Let the president's salary be x
Let the vice president's salary be y
The first statement of total salaries can be represented thus:
\(x+y=572,400\)The president making more than the vice-president can be represented thus:
\(x=227,600+y\)So we will substitute the x value above into the initial expression to get what their salaries will be:
\(\begin{gathered} x+y=572400 \\ x=227600+y \\ 227600+y+y=572400 \\ 227600+2y=572400 \\ 2y=572400-227600 \\ 2y=344800 \\ y=\frac{344800}{2} \\ y=172400 \\ x=227600+y \\ x=227600+172400 \\ x=400000 \\ \text{The president's salary is \$400,000} \\ \text{The vice-president's salary is \$172,400} \end{gathered}\)How do we calculate=
x+5/x + x+8/x-1= ?
Answer:
⇒8(x−1)=5x
⇒8x−x=5x
⇒8x−5x=8
⇒3x=8
⇒x=
3
8
Does a point have a location?
A point in geometry is a location.
It has no size, width, length or depth. A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions.
Does (8, 7) make the equation y = x - -3 true?
Answer:
No.
Step-by-step explanation:
7=8-(-3)
7=8+3
7≠11
I am lost please help thank you all
Answer:
Step-by-step explanation:
At least 9 means more than 9 and includes 9
x ≥ 9 and [9, +∞)
At most 9 means numbers less than 9
x≤9 and (-∞, 9]
more than 9 means bigger than 9 but not including 9
x > 9 and (9, +∞)
fewer than 9 means less than 9 but not including 9
x<9 and (-∞, 9)
strictly between 7 and 9 means between 7 and 9 but not including
7<x<9 and (7,9) (This is the only one I'm unsure of. Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)
between 7 and 7 inclusive. means it's just =7 There's no boundaries
x=7
no more than 7 means less than 7 and includes 7
x ≤ 7 and (-∞, 7]
Which expression is equivalent to (73)5 • 74 ?
This question is incomplete because the options are missing; here is the complete question:
Which expression is equivalent to (73) 5 • 74?
Select each correct answer:
73 • 5 + 4
73 + 5 + 4
73 + 5 • 74
73 • 5 • 74
The answer to this question is 73 • 5 • 74
Explanation:
The symbol • represents multiplication, this implies the numbers 5 and 74 should be multiplied when solving this operation. Moreover, if the expression is simplified the same symbol or a multiplication symbol should be used.
Moreover, the lack of a symbol between these numbers and 73 indicates multiplication. Indeed, in algebra and some fields of mathematics, the multiplication symbol is omitted, and two numbers standing side by side with no symbol indicate the multiplication. Thus, it is correct to place a multiplication symbol between 73 and the other numbers.
Is 0.728283 rational?
Answer:
Yes
Step-by-step explanation:
This can be written in a fraction that is why its rational
Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?
Answer:
the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.
Step-by-step explanation:
o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").
Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:
m = -12% / 100 = -0.12
Craig Milton needs to order for his company int the catalog a 20% traidor discount is offered for a price of $481.60 what is the net price
Answer:
Net price = $385.28
Step-by-step explanation:
Trade Discount - It is the discount given by buyer to seller, as a reduction in list price, when huge (bulk) orders transactions are made.
List price = 481.60
Trade Discount = 20%
So, Trade Discount = 20 / 100 (481.60) = 96.32
Net price = List price - Trade Discount = 481.60 - 96.32 = 385.28
Find the percent of change for 25 is decreased to 10.
Answer:
60%
Step-by-step explanation:
25-10=15
15÷25=0.6
0.6×100=60
Work out 5 × 1 7 Give your answer as a fraction.
Answer:
The answer is 85/1. To calculate 5 × 17, first multiply 5 × 10 = 50, then add 5 to the result to get 50 + 5 = 55. Finally, divide the result by 1 to get 55/1 = 85/1.
give me brainiest
Answer:
The fraction is 5/7
Step-by-step explanation:
5 * 1/7
Multiplying a whole number times a fraction
Multiply the whole number times the numerator.
5 * 1 = 5
Divide by the denominator
5/7
The fraction is 5/7
Question 2(Multiple Choice Worth 5 points)
(06.03 MC)
What are the solutions of the system of equations y = -(x + 2)² + 1 and y = 3x + 7?
O(-2, 1) and (5,-8)
O(-2, 1) and (-5, -8)
O (2, -3) and (-5, -8)
O(-2, -3) and (-5, -8)
SOMEONE PLEASE HELP ME ASAP PLEASE !!!
Answer:
530.66
Step-by-step explanation:
The way we find the area of the circle we use the radius of the circle for this one it's 13cm squared * pi or 3.14
For this circle we do 3.14 * 13^2
First we have to square 13: 13^2 = 169
Then we multiply 169 by 3.14: 3.14 * 169 = 530.66
Then we do to the nearest hundredth which is the same as the previous answer: 530.66
Answer:
169 pie
Step-by-step explanation:
pie is 3.14 and the r stands for radius
in the question radius is 13
in ur calculator u shall type pie times 13 squared
sorry I couldn't use figures to show but I hope that helped
PLEASE HELP FAST !!!!!!!!
Identify the equation that represents a quadratic relationship
Answer:
Step-by-step explanation:
Quadratic means squared equation so
the first one is your answer.
y= 4x²
Please help and answer ASAP please will mark Brainlest
What is the value for x?
Enter your answer in the box.
x =
Answer:
x=45
Step-by-step explanation:
i hope its right good luck :)
i think im wrong
Using ƒ(x) = 2x + 7 and g(x) = x − 3, find ƒ(g(x))
Answer: 2x+1
Step-by-step explanation:
For this problem it states f(g(x)). This is asking for f(x) when x=g(x). All we have to do is plug in g(x) in any place we see x in f(x).
2(x-3)+7
2x-6+7
2x+1
Find the lines of symmetry. Select all that apply. Thank you!
Answer:
l and n
Step-by-step explanation:
the area of a square patio is 256 sq feet. what is the length each side?
Answer:
16
Step-by-step explanation:
Find the perfect square of 256 since you need to sides of the same length
16 * 26 = 256
Answer:
64 feet
Step-by-step explanation:
Three brothers share some money. The oldest 5/11 of the money. The next boy gets gets 7/12 of the remainder. What fraction of the money does the youngest boy get?
The fraction of the money the youngest boy does get is 5x/22.
Given that, three brothers share some money. The oldest 5/11 of the money.
Let the total money be x.
Share of oldest boy = 5/11 ×x
= 5x/11
Remainder = x-5x/11
Remainder = 6x/11
The next boy gets 7/12 of the remainder.
Share of next boy = 7/12 × 6x/11
= 7x/22
Share of youngest boy = 6x/11 - 7x/22
= (12x-7x)/22
= 5x/22
Therefore, the fraction of the money the youngest boy does get is 5x/22.
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Solve for H 39=1/2(h+7)(h)
steps for graphing y= x^2 - 4x
The graph using the direction, vertex, focus, and axis of symmetry is shown below.
The given equation is y=x²-4x.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Put x=0, 1, 2, 3, 4,....in the given equation, we get
When x=0
y=0
When x=1
y=-3
When x=2
y= -4
When x=3
y= -3
When x=4
y=0
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (2, -4)
Focus: (2, -15/4)
Axis of Symmetry: x=2
Directrix: y= -17/4
Hence, the graph using the direction, vertex, focus, and axis of symmetry is shown below.
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hazel is saving to buy a 400$ bike.She saves each week from her babysitting money.What linear equation represents the amount hazel still has to save after x weeks
Step-by-step explanation:
what r the answer choses??
-(9-6)+(-1-2)-(3+4)+(5-6)=
Answer:
Step-by-step explanation:
-9+6-1-2-3-4+5-6
-3-3-7-1
-6-8
-14
Answer:
The answer is -14.
Step-by-step explanation:
-(9 - 6) + (-1 -2) - (3 + 4) + (5 - 6)
Subtract 6 from 9 to get 3.
-3 -1 -2 - (3 + 4) + 5 - 6
Subtract 1 from -3 to get -4.
-4 - 2 - (3 + 4) + 5 - 6
Subtract 2 from -4 to get -6.
-6 - (3 + 4) + 5 - 6
Add 3 and 4 to get 7.
-6 - 7 + 5 - 6
Subtract 7 from -6 to get -13.
-13 + 5 - 6
Add -13 and 5 to get -8.
-8 - 6
Subtract 6 from -8 to get -14.
-14.
The mean height of the students in a class is 152 cm. The mean height of boys is 158 cmwith a standard deviation of 5 cm. And the mean height of girls is 148 cm with a standarddeviation of 4 cm. Find the percentage of boys in the class and also the S.D of heights of allthe students in the class?
The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively
How to find the percentage of boys in the class?Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class
The given parameters that will help us to get the percentage are
Mean height of the class = 152 cm
Mean height of the boys = 158 cm
The standard deviation of the boys = 5 cm
Mean height of the girls = 148 cm
Standard deviation of the girls = 4 cm
(1) The percentage of boys in the class is
Total mean height = 158 +148 = 306
Percentage = 158/306 * 100 = 51.6%
Then the percentages 51.6/100 * 152 = 78%
(2) The total standard deviation of all the students
Boys + girls = 5+4 = 9 cm
Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively
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Amelia grabbed 50% of the M&M's from a bowl. Then, Jess took 50% of what was left. Dominick takes 50% of the remaining M&M's. There were 3 left. How many M&M's were in the bowl before Amelia arrived.
The number of M&M's that were in the bowl before Amelia arrived is; 12
How to solve Percentage problems?Let the original amount in the bowl be x. Thus;
If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x
Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x
Now, we are told that there were finally 3 left after all the deductions. Thus;
0.25x = 3
x = 3/0.25
x = 12
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I’LL GIVE BRAINLIEST, A HEART, AND 5 STARS TO WHOEVER ANSWERS FIRST
(Please answer ALL questions and show how you got the answer!)
Group B has lower range.
Group A shows variability.
Mean is the best to make concussion about age of Salsa students.
Upon visual examination, it appears that Group A is likely to have a lower average age of music students compared to Group B.
This inference is supported by the observation that the majority of data points in Group B are concentrated around younger ages.
In contrast, Group A exhibits a more dispersed distribution of data points across a wider range of ages, including higher.
So, Group B has lower range.
and, Group A shows variability.
Lastly, Mean is the best to make concussion about age of Salsa students.
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